Prime p₀= 2365366215921368897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: kashi
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2365365361736297251	0 6 18 22 30 42 60 88 90 118 136 148 156 160 172 178	-854185071646
SPT(16)	2365365494224253113	0 4 46 54 66 124 136 154 186 204 216 274 286 294 336 340	-721697115784
STPT(10)	2365365533825241677	0 2 30 32 72 74 114 116 144 146	-682096127220
SPT(16)	2365365681571689611	0 2 12 48 78 80 90 96 122 128 138 140 170 206 216 218	-534349679286
SPT(16)	2365365770436610309	0 88 118 124 132 142 172 174 208 210 240 250 258 264 294 382	-445484758588
STPT(10)	2365366086692739017	0 2 30 32 42 44 54 56 84 86	-129228629880
STPT(10)	2365366278076353161	0 2 36 38 78 80 120 122 156 158	62154984264
STPT(10)	2365366688486506811	0 2 66 68 138 140 210 212 276 278	472565137914
STPT(10)	2365366721287418879	0 2 18 20 30 32 42 44 60 62	505366049982
STPT(10)	2365366754744581667	0 2 72 74 102 104 132 134 204 206	538823212770
SPT(16)	2365367027860789109	0 42 54 72 80 110 128 132 170 174 192 222 230 248 260 302	811939420212